Riccati group invariants of linear hamiltonian systems
作者:
MARIOR. GARZIA,
KENNETHA. LOPARO,
CLYDEF. MARTIN,
期刊:
International Journal of Control
(Taylor Available online 1983)
卷期:
Volume 38,
issue 5
页码: 897-911
ISSN:0020-7179
年代: 1983
DOI:10.1080/00207178308933118
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The action of the Riccati group on the Riccati differential equation is associated with the action of a subgroup of the symplectic group on a set of hamiltonian matrices. Within this framework various sets of canonical forms are developed for the matrix coefficients of the Riccati differential equation. The canonical forms presented are valid for arbitrary Kronecker indices, and it is shown that the Kronecker indices are invariants for this group action. These canonical forms are useful for studying problems arising in the areas of optimal decentralized control and the spectral theory of optimal control problems.
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